Find the smallest angle \(x\) such that \(x>90\) and \(6\tan^2(5x-3) = 2\)
+128408 6 tan ^2 ( 5x - 3) = 2
tan^2 ( 5x - 3) = 1/3 take both roots
tan (5x - 3) = ±√[1/3]
So we have the following possibilities
arctan ( 1 / √3) = 5x - 3 or arctan (-1/√3) = 5x - 3
150 = 5x - 3 330 = = 5x - 3
150 +3 = 5x 330 + 3 = 5x
153 = 5x 333 = 5x
x = 153/5 333/5 = x
x = 30.6 x = 66.6
510 = 5x - 3
510 + 3 = 5x
513 = 5x
513/5 = x
x = 102. 6°
